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/*=========================================================================
Program: Visualization Toolkit
Module: vtkParametricCrossCap.cxx
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notice for more information.
=========================================================================*/
#include "vtkParametricCrossCap.h"
#include "vtkObjectFactory.h"
#include "vtkMath.h"
vtkStandardNewMacro(vtkParametricCrossCap);
//----------------------------------------------------------------------------
vtkParametricCrossCap::vtkParametricCrossCap()
{
// Preset triangulation parameters
this->MinimumU = 0;
this->MinimumV = 0;
this->MaximumU = vtkMath::Pi();
this->MaximumV = vtkMath::Pi();
this->JoinU = 1;
this->JoinV = 1;
this->TwistU = 1;
this->TwistV = 1;
this->ClockwiseOrdering = 1;
this->DerivativesAvailable = 1;
}
//----------------------------------------------------------------------------
vtkParametricCrossCap::~vtkParametricCrossCap()
{
}
//----------------------------------------------------------------------------
void vtkParametricCrossCap::Evaluate(double uvw[3], double Pt[3], double Duvw[9])
{
double u = uvw[0];
double v = uvw[1];
double *Du = Duvw;
double *Dv = Duvw + 3;
double cu = cos(u);
double su = sin(u);
double cv = cos(v);
double c2v = cos(2 * v);
double sv = sin(v);
double s2v = sin(2 * v);
// The point
Pt[0] = cu * s2v;
Pt[1] = su * s2v;
Pt[2] = cv * cv - cu * cu * sv * sv;
//The derivatives are:
Du[0] = -Pt[1];
Du[1] = Pt[0];
Du[2] = 2 * cu * su * sv * sv;
Dv[0] = 2 * cu * c2v;
Dv[1] = 2 * su * c2v;
Dv[2] = -2 * cv * sv * (1 + cu * cu);
}
//----------------------------------------------------------------------------
double vtkParametricCrossCap::EvaluateScalar(double *, double *, double *)
{
return 0;
}
//----------------------------------------------------------------------------
void vtkParametricCrossCap::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os,indent);
}
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